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Simplifying 3(7 + -1z) + -31 = 17z + -5(2 + 4z) (7 * 3 + -1z * 3) + -31 = 17z + -5(2 + 4z) (21 + -3z) + -31 = 17z + -5(2 + 4z) Reorder the terms: 21 + -31 + -3z = 17z + -5(2 + 4z) Combine like terms: 21 + -31 = -10 -10 + -3z = 17z + -5(2 + 4z) -10 + -3z = 17z + (2 * -5 + 4z * -5) -10 + -3z = 17z + (-10 + -20z) Reorder the terms: -10 + -3z = -10 + 17z + -20z Combine like terms: 17z + -20z = -3z -10 + -3z = -10 + -3z Add '10' to each side of the equation. -10 + 10 + -3z = -10 + 10 + -3z Combine like terms: -10 + 10 = 0 0 + -3z = -10 + 10 + -3z -3z = -10 + 10 + -3z Combine like terms: -10 + 10 = 0 -3z = 0 + -3z -3z = -3z Add '3z' to each side of the equation. -3z + 3z = -3z + 3z Combine like terms: -3z + 3z = 0 0 = -3z + 3z Combine like terms: -3z + 3z = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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